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Amoxil has a relatively short half life which means it is removed from your system quickly.

To be more specific the half-life of Amoxicillin is 61.3 minutes. It takes around 5.5 half lives for the body to eliminate a drug from your system so you could expect the amoxicillin to have left the body 5 1/2 hours after dosing (5.5 x 61.3 = 337.5 minutes or around 5 1/2 hours).